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Finding the Fourth Proportional to 378.96, 568.53 and 205.62

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Solution

The fourth proportional to 378.96, 568.53 and 205.62 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 568.53 = 205.62 : x
  2. Step 2: Convert to fraction form
    378.96/568.53 = 205.62/x
  3. Step 3: Cross multiply
    378.96x = 568.53 × 205.62
  4. Step 4: Simplify right side
    378.96x = 116,901.14
  5. Step 5: Solve for x
    x = 116,901.14/378.96
  6. Step 6: Final answer
    x = 308.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.